The perturbative quantum chromodynamics correction to the semihadronic decay rate R of the heavy leptonτwas expressed by Braaten as an expansion in powers ofαs to orderαs3.Braaten had found theα_(s)^(4)order corre...The perturbative quantum chromodynamics correction to the semihadronic decay rate R of the heavy leptonτwas expressed by Braaten as an expansion in powers ofαs to orderαs3.Braaten had found theα_(s)^(4)order correction to be significant and conjectured that theα_(s)^(4)order corrections might also be significant.Braaten et al.later corrected theα_(s)^(4)-order result.We have extended the analytic calculations to orderαs4;it involves an unknown constant K3 which occurs inαs4 order.In order to estimate the effect ofα_(s)^(4)order correction,we have chosen K3 to range from-1000 to+1000 and we find that the value of R changes by about-11%to+10%,respectively,compared to the value of R=3.5 obtained toα_(s)^(4)-order result.展开更多
Transverse electron scattering response function S_(T)(q,ω)has been calculated by using a hard core common harmonic oscillator potential.Good agreement is obtained with the experimental date at q=400 MeV/c.
We present here the result of the calculation on the ratio of|<1^(+)||T_(1)^(mag)||0^(+)>1/q|^(2)/|<1^(+)||T_(1)^(mag)||0^(+)>1/q|_(q)^(2)=0 for the 15.1 MeV level in^(12)C.We use the wave function corresp...We present here the result of the calculation on the ratio of|<1^(+)||T_(1)^(mag)||0^(+)>1/q|^(2)/|<1^(+)||T_(1)^(mag)||0^(+)>1/q|_(q)^(2)=0 for the 15.1 MeV level in^(12)C.We use the wave function corresponding to the nucleons moving in a common harmonic potential plus a hard core.展开更多
文摘The perturbative quantum chromodynamics correction to the semihadronic decay rate R of the heavy leptonτwas expressed by Braaten as an expansion in powers ofαs to orderαs3.Braaten had found theα_(s)^(4)order correction to be significant and conjectured that theα_(s)^(4)order corrections might also be significant.Braaten et al.later corrected theα_(s)^(4)-order result.We have extended the analytic calculations to orderαs4;it involves an unknown constant K3 which occurs inαs4 order.In order to estimate the effect ofα_(s)^(4)order correction,we have chosen K3 to range from-1000 to+1000 and we find that the value of R changes by about-11%to+10%,respectively,compared to the value of R=3.5 obtained toα_(s)^(4)-order result.
文摘Transverse electron scattering response function S_(T)(q,ω)has been calculated by using a hard core common harmonic oscillator potential.Good agreement is obtained with the experimental date at q=400 MeV/c.
基金Work done while on a sabbatical leave from Arizona State University。
文摘We present here the result of the calculation on the ratio of|<1^(+)||T_(1)^(mag)||0^(+)>1/q|^(2)/|<1^(+)||T_(1)^(mag)||0^(+)>1/q|_(q)^(2)=0 for the 15.1 MeV level in^(12)C.We use the wave function corresponding to the nucleons moving in a common harmonic potential plus a hard core.
